GCD of 180, 568, 70, 356 Calculator

Given Input numbers are 180, 568, 70, 356

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 180, 568, 70, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 568, 70, 356 is 2.

Therefore, GCD of numbers 180, 568, 70, 356 is 2

Given Input Data is 180, 568, 70, 356

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 356 is 2 x 2 x 89

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(180, 568) = 25560

GCD(180, 568) = ( 180 x 568 ) / 25560

GCD(180, 568) = 102240 / 25560

GCD(180, 568) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 70

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 70) = 140

GCD(4, 70) = ( 4 x 70 ) / 140

GCD(4, 70) = 280 / 140

GCD(4, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 356

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

GCD(2, 356) = 712 / 356

GCD(2, 356) = 2

GCD of 180, 568, 70, 356 is 2

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1. What is the GCD of 180, 568, 70, 356?

GCD of 180, 568, 70, 356 is 2

2. Where do I get the detailed procedure to find GCD of 180, 568, 70, 356?

You can find a detailed procedure to find GCD of 180, 568, 70, 356 on our page.

3. How to find GCD of 180, 568, 70, 356 on a calculator?

You can find the GCD of 180, 568, 70, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.